Part 1
A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom ?
27
Nov
A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom ? A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of [...]
A disc of mass M and radius R is rolling with angular speed ω on a horizontal plane as shown in figure. The magnitude of angular momentum of the disc about the origin O is:
27
Nov
A disc of mass M and radius R is rolling with angular speed ω on a horizontal plane as shown in figure. The magnitude of angular momentum of the disc about the origin O is: A disc of mass M and radius R is rolling with angular speed ω on a horizontal plane as shown [...]
A small object of uniform density rolls up a curved surface with an initial velocity v. It reaches up to a maximum height of 3v^2/4g with respect to the initial position. The object is
27
Nov
A small object of uniform density rolls up a curved surface with an initial velocity v. It reaches up to a maximum height of 3v^2/4g with respect to the initial position. The object is A small object of uniform density rolls up a curved surface with an initial velocity v. It reaches up to a [...]
A hollow sphere rolls without slipping on plane surface. The ratio of kinetic energy of rotation to the total kinetic energy is
27
Nov
A hollow sphere rolls without slipping on plane surface. The ratio of kinetic energy of rotation to the total kinetic energy is A hollow sphere rolls without slipping on plane surface. The ratio of kinetic energy of rotation to the total kinetic energy is November 27, 2020 Category: Cengage NEET by C.P Singh , Chapter [...]
A solid cylinder and a sphere, having the same mass, rolls without slipping with the same linear velocity. If the kinetic energy of the cylinder is 75J, that of the sphere must be
27
Nov
A solid cylinder and a sphere, having the same mass, rolls without slipping with the same linear velocity. If the kinetic energy of the cylinder is 75J, that of the sphere must be A solid cylinder and a sphere having the same mass rolls without slipping with the same linear velocity. If the kinetic energy [...]
A solid sphere of mass m and radius R rolls without slipping on a horizontal surface such that vc.m.=v0.
27
Nov
A solid sphere of mass m and radius R rolls without slipping on a horizontal surface such that vc.m.=v0. A solid sphere of mass m and radius R rolls without slipping on a horizontal surface such that vc.m.=v0. November 27, 2020 Category: Cengage NEET by C.P Singh , Chapter 11 - Rotational Motion , Part [...]
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R, then the fraction of total energy associated with its rotational energy will be
27
Nov
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R, then the fraction of total energy associated with its rotational energy will be A ball rolls without slipping. The radius of gyration of the ball [...]
A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance l from the cylinder holds one end of the sitting an pulls the cylinder towards him figure. There is no slipping anywhere. The length of the string passed through the hand of the man while the cylinder reaches his hands is
27
Nov
A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance l from the cylinder holds one end of the sitting an pulls the cylinder towards him figure. There is no slipping anywhere. The length of the string passed through the hand [...]
A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then
27
Nov
A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then A is the point of contact A sphere is rolling without slipping on a fixed horizontal plane surface. In the [...]
A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speed 2v and v, respectively, strike the bar [as shown in the fig.] and stick to the bar after collision. Denoting angular velocity (about the centre of mass), total energy and centre of mass velocity by ω, E and vc respectively, we have after collision
27
Nov
A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speed 2v and v, respectively, strike the bar [as shown in the fig.] and stick to the bar after collision. Denoting angular velocity (about the centre of [...]
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A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speed 2v and v ,
E and vc respectively ,
respectively ,
strike the bar [as shown in the fig.] and stick to the bar after collision. Denoting angular velocity (about the centre of mass) ,
total energy and centre of mass velocity by ω ,
we have after collision ,